周期驱动二能级原子系统的本征态问题  

Eigenstate Problem of Periodically Driven Two-Level Atomic Systems

作　　者：朱永祥 张秀荣 李卫东 ZHU Yongxiang;ZHANG Xiurong;LIWeidong(Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China;School of Physics and Electronic Engineering,Shanxi University,Taiyuan 030006,China;Shenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology,Center for Advanced Material Diagnostic Technology,and College of Engineering Physics,Shenzhen Technology University,Shenzhen 518118,China;Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen 518005,China)

机构地区：[1]山西大学理论物理研究所,山西太原030006 [2]山西大学物理电子工程学院,山西太原030006 [3]深圳技术大学工程物理学院,先进材料诊断技术中心,超强激光与先进材料技术深圳重点实验室,广东深圳518118 [4]广东省量子科学技术与工程重点实验室(南方科技大学),广东深圳518055

出　　处：《山西大学学报（自然科学版）》2022年第6期1542-1546,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11874247);中国国家重点研究开发计划(2017YFA0304500);广东省重点实验室(2019B121203002);中国量子光学与量子光学器件国家重点实验室计划(KF201703)。

摘　　要：文章对周期驱动下,二能级原子系统的本征态问题进行了研究。通过采用Floquet态作为基底,发现体系的动力学由两个因素控制,耦合系数g只与同阶傅里叶级数的、两个能级间的耦合有关,而周期驱动导致的不同傅里叶阶数子能级间的耦合与贝塞尔函数有关。通过贝塞尔函数调制基矢,能将无穷维矩阵的求解等效为有限维矩阵的本征态问题。In this paper,the eigenstate problem of periodically driven two-level atomic systems is studied.By using the Floquet state,it is found that the dynamics of the system are controlled by two factors.The coupling coefficient g is only related to the coupling between the two energy levels with the same order of Fourier series.The coupling between the sublevels with the different Fourier order is related to the Bessel function.By modulating the basis vector with the Bessel function,the infinite-dimensional matrix of Floquet Hamiltonian can be equivalent to a finite-dimensional matrix.

关 键 词：周期驱动 FLOQUET理论 贝塞尔函数 

分 类 号：O413[理学—理论物理]